facility location composite objective function to equity

https://www.eastbaytimes.com/2019/01/01/report-alta-bates-closure-would-critically-impact-poor-people-of-color/

Facility Location Composite Objective Function

- Which equity metric? 24+ options (Marsh & Schilling ‘93)- Which demographic grouping? (Race? Income? Insured?)- How much weight to assign to equity/capacity term?

ERs in the area surrounding Alta Bates. Red = Candidate, Blue = Currently Open

https://www.berkeleyside.com/2018/12/12/save-it-or-sell-it-berkeley-asks-sutter-for-a-concrete-plan-for-alta-bates

Impact of Alta Bates Closure with no replacement

Left: Increase in users of each ER when Alta Bates is closed. Notice the >200% increase in usage for Facility #2, Children’s Hospital and Research Center at Oakland.

Right: Increase in ER usage as a function of capacity. Notice facility #2 goes from underutilized to overutilized, and facility #20 (Kaiser Richmond) is even more overused.

Equity Measurement Matters

Left: Replacement facility for Alta Bates, Metric 3, Averaging, with Health Insurance grouping

Right: Replacement facility for Alta Bates, Metric 3, Summing, with Health Insurance grouping

Approximately optimal solutions

Bottom row: Approximate optimum. Notice maximal scale factor is only 2.3

3 equity metric classes (table) which capture 16 equity metrics

3 grouping types (Race, Income, Health Insurance)

2 Aggregation Types (Population averaging/summing)

= 18 composite objectives

(M0 = vanilla objective, no equity)

Scale factors of optima with respect to all composite objectives

Classes of Equity Metrics and Objective Functions